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Finding the Fourth Proportional to 730.77, 1,008.77 and 491.55

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Solution

The fourth proportional to 730.77, 1,008.77 and 491.55 is: 678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.77 : 1,008.77 = 491.55 : x
  2. Step 2: Convert to fraction form
    730.77/1,008.77 = 491.55/x
  3. Step 3: Cross multiply
    730.77x = 1,008.77 × 491.55
  4. Step 4: Simplify right side
    730.77x = 495,858.44
  5. Step 5: Solve for x
    x = 495,858.44/730.77
  6. Step 6: Final answer
    x = 678.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.